5189419872 has 480 divisors, whose sum is σ = 19209960000. Its totient is φ = 1365590016.

The previous prime is 5189419831. The next prime is 5189419981. The reversal of 5189419872 is 2789149815.

It is a happy number.

5189419872 is a `hidden beast` number, since 518 + 9 + 41 + 9 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11557504 + ... + 11557952.

It is an arithmetic number, because the mean of its divisors is an integer number (40020750).

Almost surely, 2^5189419872 is an apocalyptic number.

5189419872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5189419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604980000).

5189419872 is an abundant number, since it is smaller than the sum of its proper divisors (14020540128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5189419872 is a wasteful number, since it uses less digits than its factorization.

5189419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 5189419872 is about 72037.6281675070. The cubic root of 5189419872 is about 1731.3024230639.

The spelling of 5189419872 in words is "five billion, one hundred eighty-nine million, four hundred nineteen thousand, eight hundred seventy-two".